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Finding the Fourth Proportional to 451.73, 623.63 and 346.84

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Solution

The fourth proportional to 451.73, 623.63 and 346.84 is: 478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.73 : 623.63 = 346.84 : x
  2. Step 2: Convert to fraction form
    451.73/623.63 = 346.84/x
  3. Step 3: Cross multiply
    451.73x = 623.63 × 346.84
  4. Step 4: Simplify right side
    451.73x = 216,299.83
  5. Step 5: Solve for x
    x = 216,299.83/451.73
  6. Step 6: Final answer
    x = 478.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.